The Design of Gain-Constrained Linear Feedback Controllers

A linear observer-controller is developed to implement regulation of a linear system where a priori constraints are specified on the controller and observer gain matrices. The compensator´s gain matrices are generated through the solution of matrix differential equations. Conditions are developed to examine whether or not a regulation accuracy specification can be met with a class of constant gain-constrained observer-controllers. Using this class of compensators, the time required to drive the system´s state from any given initial state to a prescribed region is estimated. A numerical simulation study demonstrates the procedure.